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Simplifying -21 + -6d = 7(4d + 9) Reorder the terms: -21 + -6d = 7(9 + 4d) -21 + -6d = (9 * 7 + 4d * 7) -21 + -6d = (63 + 28d) Solving -21 + -6d = 63 + 28d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-28d' to each side of the equation. -21 + -6d + -28d = 63 + 28d + -28d Combine like terms: -6d + -28d = -34d -21 + -34d = 63 + 28d + -28d Combine like terms: 28d + -28d = 0 -21 + -34d = 63 + 0 -21 + -34d = 63 Add '21' to each side of the equation. -21 + 21 + -34d = 63 + 21 Combine like terms: -21 + 21 = 0 0 + -34d = 63 + 21 -34d = 63 + 21 Combine like terms: 63 + 21 = 84 -34d = 84 Divide each side by '-34'. d = -2.470588235 Simplifying d = -2.470588235
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